On 5/13/11, Jason Grout <jason-s...@creativetrax.com> wrote:
> On 5/12/11 11:38 PM, Dan Drake wrote:
>> If I have a Sage expression, I can do
>>
>>     latex(foo)
>>
>> to get LaTeX code. Is there an inverse to that function?
>>
>> Frequently, I do a calculation in Sage and get something complicated. I
>> find it easier to look at when typeset by TeX, so I call latex(), paste
>> the result into a document, then typeset.
>>
>> Conversely, sometimes I write something in LaTeX and would like to do
>> some calculations with it. So I'd like to call...something, paste the
>> result into Sage, and compute.
>>
>> I'm generally working with reasonably simple symbolic expressions. Is
>> this possible? I know that a full parser is practically impossible, but
>> it seems like a relatively simple parser could work pretty well.
>>
>> I think I'm asking for a complement to Rob Beezer's tex2sws. Thoughts?
>
> If we had this, it would be a lot simpler to do a web-based equation editor.
>
> Jason

I don't think it exists yet, Dan. However, it should be feasible in
simple cases. I have a few ideas on how to do it using TeX (probably
not the fastest, but that's the language I know best). Can you please
post a couple of typical short-but-thorough examples of LaTeX
equations, and the desired output? Don't hesitate to go for "hard"
cases, such as matrices, or slightly "dirty" TeX code: anything you
may realistically wish to use in practice.

I'll try to give the possibility of using a config file to set some
defaults (e.g. maybe \Gamma often represents the Gamma function for
you, maybe \Gamma is a constant for someone else), and try to make it
possible to override them locally. My idea is to write a LaTeX package
which when loaded would convert math expressions to a Sage input,
stored in an external file.

I'm very keen on trying this, as it is related to a recent idea of
mine. Start from a Sage symbolic expression, and convert it using
latex(). Then given a subexpression in the LaTeX code, be able to go
back to the Sage subexpression. The goal would be in the long term to
provide reverse search from the jsmath/mathjax displayed equation back
to the Sage code. Then it may be possible to e.g. select a
subexpression and apply some transformations (i.e. .simplify(), or
.collect(...) to the subexpression rather than the whole expression).
But that's probably a longer term project.

Anyway, give me some examples, and one or two weeks, and I'll try to
produce a prototype.

Regards,
Bruno

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